Answer:
4(9a^4+4y^2)
Step-by-step explanation:
factor out common term
So lets get to the problem
<span>165°= 135° +30° </span>
<span>To make it easier I'm going to write the same thing like this </span>
<span>165°= 90° + 45°+30° </span>
<span>Sin165° </span>
<span>= Sin ( 90° + 45°+30° ) </span>
<span>= Cos( 45°+30° )..... (∵ Sin(90 + θ)=cosθ </span>
<span>= Cos45°Cos30° - Sin45°Sin30° </span>
<span>Cos165° </span>
<span>= Cos ( 90° + 45°+30° ) </span>
<span>= -Sin( 45°+30° )..... (∵Cos(90 + θ)=-Sinθ </span>
<span>= Sin45°Cos30° + Cos45°Sin30° </span>
<span>Tan165° </span>
<span>= Tan ( 90° + 45°+30° ) </span>
<span>= -Cot( 45°+30° )..... (∵Cot(90 + θ)=-Tanθ </span>
<span>= -1/tan(45°+30°) </span>
<span>= -[1-tan45°.Tan30°]/[tan45°+Tan30°] </span>
<span>Substitute the above values with the following... These should be memorized </span>
<span>Sin 30° = 1/2 </span>
<span>Cos 30° =[Sqrt(3)]/2 </span>
<span>Tan 30° = 1/[Sqrt(3)] </span>
<span>Sin45°=Cos45°=1/[Sqrt(2)] </span>
<span>Tan 45° = 1</span>
Step-by-step explanation:
The washer costs $624 and the dryer costs 312.
624 is double 312 so that works out. Also if you add 624 and 312 you get 936.
Answer:
a= 17√3/ 2 or a≈14.72
Step-by-step explanation:
c = 17 and is the side opposite to the angle C
c=AB =17
a= BC because is the side opposite to angle A
sin 60° = opp./hyp = BC / AB = BC/17
sin 60° = BC /17 multiply both sides by 17
BC = 17* sin 60 = 17√3/2 ≈14.72
2* 10^4 would be bigger than 8* 10^3.
10^4 = 10000*2=20000
10^3 = 1000*8=8000
